Sentence examples for using the Asymptotic numerical from inspiring English sources

The resulting problem is solved using the asymptotic numerical method in conjunction with automatic differentiation techniques.

Solutions of nonlinear smooth PDE problems may be approximated as higher order truncated Taylor series using the Asymptotic Numerical Method (ANM).

This algorithm is built by employing the following four steps: 1 – the space and time discretization procedures, 2 – a change of variable, 3 – a homotopy transformation, 4 – techniques used in the Asymptotic Numerical Method (ANM) (Cochelin et al., 2007; Mottaqui et al., 2010) [1,2].

Because the expressions of β is not simple and have to be computed using the asymptotic expressions (31) and (32), we cannot solve this problem analytically and we have to use numerical calculus instead.

The homogenization procedure is justified using the asymptotic expansion method.

b Using the asymptotic standard error assuming the null hypothesis.

Hardy Weinberg equilibrium was tested using the asymptotic Pearson's χ-test.

The asymptotic numerical method is used to solve the resulting non-linear equations' system.

The asymptotic numerical method is used, in combination with the FE modelling, to solve the obtained nonlinear equations.

The continuous model is reduced to a finite degree of freedom system by the Galerkin discretization and solved using the harmonic balance method (HBM) coupled with the asymptotic numerical method (ANM).

With the generalized linear models, edgeR and DESeq use the asymptotic likelihood ratio or Wald tests.